1356228383328 has 720 divisors, whose sum is σ = 5158125270144. Its totient is φ = 346135265280.

The previous prime is 1356228383299. The next prime is 1356228383353. The reversal of 1356228383328 is 8233838226531.

It is a happy number.

1356228383328 is a `hidden beast` number, since 1 + 3 + 5 + 6 + 228 + 383 + 32 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 51170976 + ... + 51197472.

Almost surely, 2^{1356228383328} is an apocalyptic number.

1356228383328 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1356228383328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2579062635072).

1356228383328 is an abundant number, since it is smaller than the sum of its proper divisors (3801896886816).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1356228383328 is a wasteful number, since it uses less digits than its factorization.

1356228383328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26577 (or 26553 counting only the distinct ones).

The product of its digits is 9953280, while the sum is 54.

The spelling of 1356228383328 in words is "one trillion, three hundred fifty-six billion, two hundred twenty-eight million, three hundred eighty-three thousand, three hundred twenty-eight".